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Finding the Fourth Proportional to 596.64, 824.40 and 492.96

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Solution

The fourth proportional to 596.64, 824.40 and 492.96 is: 681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.64 : 824.40 = 492.96 : x
  2. Step 2: Convert to fraction form
    596.64/824.40 = 492.96/x
  3. Step 3: Cross multiply
    596.64x = 824.40 × 492.96
  4. Step 4: Simplify right side
    596.64x = 406,396.22
  5. Step 5: Solve for x
    x = 406,396.22/596.64
  6. Step 6: Final answer
    x = 681.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.